Witt型李超代数偶部的可分解极大阶化子代数

摘要

In this paper,we study the structural features of the even part g =(O)＞-1gi of Z-graded Witt Lie superalgebra and introduce the notion of a decomposable maximal graded subalgebra.By means of computation,some suitable series of submodules of g1 as go-module are given.All the decomposable maximal graded subalgebras of g over a field of prime characteristic are characterized by virtue of a constructive method.It is helpful to further understand the intrinsic properties of Witt Lie superalgebras.%本文研究了Z-阶化Witt型李超代数偶部g=(O)＞-1gi的结构特点,介绍了可分解极大阶化子代数的定义.通过计算,给出g1作为go-模的适当子模序列.利用构造法,确定了g在素特征域上的可分解极大阶化子代数的分类.这有助于进一步了解Witt型李超代数的内在性质.